In: Math
a) Find area between parabola f(x) = x^2/2p and its chord AB which is perpendicular to y-axis. Here A(a,f(a)), B(-a, f(-a)), a<0, p>0.
b) Show also that this area is 2/3 of the area of the rectangle bounded by lines AB, X -axis, x = a,x = b.